# How do you solve x/4=3/2?

$x = 6$

#### Explanation:

We can do this a couple of ways.

One way is to cross multiply:

$\frac{x}{4} = \frac{3}{2}$

$2 x = 3 \times 4$

$x = \frac{12}{2}$

$x = 6$

Another way is to notice that the denominator on the left is twice as big as the right, so we can adjust the right side this way:

$\frac{x}{4} = \frac{3}{2}$

$\frac{x}{4} = \frac{3}{2} \left(1\right)$

$\frac{x}{4} = \frac{3}{2} \left(\frac{2}{2}\right)$

$\frac{x}{4} = \frac{3 \times 2}{2 \times 2}$

$\frac{x}{4} = \frac{6}{4}$

So we can see that $x = 6$